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Finding the Fourth Proportional to 527.12, 727.24 and 317.20

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Solution

The fourth proportional to 527.12, 727.24 and 317.20 is: 437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.12 : 727.24 = 317.20 : x
  2. Step 2: Convert to fraction form
    527.12/727.24 = 317.20/x
  3. Step 3: Cross multiply
    527.12x = 727.24 × 317.20
  4. Step 4: Simplify right side
    527.12x = 230,680.53
  5. Step 5: Solve for x
    x = 230,680.53/527.12
  6. Step 6: Final answer
    x = 437.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.